src/Pure/Isar/isar_thy.ML
author wenzelm
Mon Jul 12 22:29:38 1999 +0200 (1999-07-12)
changeset 6986 82a4ac9c6b03
parent 6952 0f7e8d42902b
child 7002 01a4e15ee253
permissions -rw-r--r--
local qeds: print rule;
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(*  Title:      Pure/Isar/isar_thy.ML
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    ID:         $Id$
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    Author:     Markus Wenzel, TU Muenchen
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Pure/Isar derived theory operations.
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*)
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signature ISAR_THY =
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sig
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  val add_txt: Comment.text -> ProofHistory.T -> ProofHistory.T
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  val add_text: Comment.text -> theory -> theory
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  val add_title: Comment.text -> Comment.text -> Comment.text -> theory -> theory
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  val add_chapter: Comment.text -> theory -> theory
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  val add_section: Comment.text -> theory -> theory
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  val add_subsection: Comment.text -> theory -> theory
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  val add_subsubsection: Comment.text -> theory -> theory
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  val add_classes: (bclass * xclass list) list * Comment.text -> theory -> theory
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  val add_classes_i: (bclass * class list) list * Comment.text  -> theory -> theory
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  val add_classrel: (xclass * xclass) * Comment.text -> theory -> theory
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  val add_classrel_i: (class * class) * Comment.text -> theory -> theory
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  val add_defsort: xsort * Comment.text -> theory -> theory
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  val add_defsort_i: sort * Comment.text -> theory -> theory
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  val add_nonterminals: (bstring * Comment.text) list -> theory -> theory
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  val add_tyabbrs: ((bstring * string list * string * mixfix) * Comment.text) list
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    -> theory -> theory
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  val add_tyabbrs_i: ((bstring * string list * typ * mixfix) * Comment.text) list
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    -> theory -> theory
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  val add_arities: ((xstring * xsort list * xsort) * Comment.text) list -> theory -> theory
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  val add_arities_i: ((string * sort list * sort) * Comment.text) list -> theory -> theory
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  val add_typedecl: (bstring * string list * mixfix) * Comment.text -> theory -> theory
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  val add_consts: ((bstring * string * mixfix) * Comment.text) list -> theory -> theory
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  val add_consts_i: ((bstring * typ * mixfix) * Comment.text) list -> theory -> theory
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  val add_modesyntax: string * bool -> ((bstring * string * mixfix) * Comment.text) list
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    -> theory -> theory
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  val add_modesyntax_i: string * bool -> ((bstring * typ * mixfix) * Comment.text) list
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    -> theory -> theory
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  val add_trrules: ((xstring * string) Syntax.trrule * Comment.text) list -> theory -> theory
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  val add_trrules_i: (Syntax.ast Syntax.trrule * Comment.text) list -> theory -> theory
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  val add_axioms: (((bstring * string) * Args.src list) * Comment.text) list -> theory -> theory
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  val add_axioms_i: (((bstring * term) * theory attribute list) * Comment.text) list
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    -> theory -> theory
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  val add_defs: (((bstring * string) * Args.src list) * Comment.text) list -> theory -> theory
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  val add_defs_i: (((bstring * term) * theory attribute list) * Comment.text) list
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    -> theory -> theory
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  val add_constdefs: (((bstring * string * mixfix) * Comment.text) * (string * Comment.text)) list
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    -> theory -> theory
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  val add_constdefs_i: (((bstring * typ * mixfix) * Comment.text) * (term * Comment.text)) list
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    -> theory -> theory
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  val apply_theorems: (xstring * Args.src list) list -> theory -> theory * thm list
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  val apply_theorems_i: (thm * theory attribute list) list -> theory -> theory * thm list
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  val have_theorems: ((bstring * Args.src list) * (xstring * Args.src list) list) * Comment.text
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    -> theory -> theory
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  val have_theorems_i: ((bstring * theory attribute list) * (thm * theory attribute list) list)
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    * Comment.text -> theory -> theory
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  val have_lemmas: ((bstring * Args.src list) * (xstring * Args.src list) list) * Comment.text
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    -> theory -> theory
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  val have_lemmas_i: ((bstring * theory attribute list) * (thm * theory attribute list) list)
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    * Comment.text -> theory -> theory
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  val have_facts: ((string * Args.src list) * (string * Args.src list) list) * Comment.text
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    -> ProofHistory.T -> ProofHistory.T
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  val have_facts_i: ((string * Proof.context attribute list) *
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    (thm * Proof.context attribute list) list) * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val from_facts: (string * Args.src list) list * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val from_facts_i: (thm * Proof.context attribute list) list * Comment.text
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    -> ProofHistory.T -> ProofHistory.T
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  val with_facts: (string * Args.src list) list * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val with_facts_i: (thm * Proof.context attribute list) list * Comment.text
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    -> ProofHistory.T -> ProofHistory.T
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  val chain: Comment.text -> ProofHistory.T -> ProofHistory.T
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  val export_chain: Comment.text -> ProofHistory.T -> ProofHistory.T
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  val fix: (string * string option) list * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val fix_i: (string * typ) list * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val match_bind: ((string list * string) * Comment.text) list -> ProofHistory.T -> ProofHistory.T
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  val match_bind_i: ((term list * term) * Comment.text) list -> ProofHistory.T -> ProofHistory.T
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  val theorem: (bstring * Args.src list * (string * (string list * string list)))
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    * Comment.text -> bool -> theory -> ProofHistory.T
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  val theorem_i: (bstring * theory attribute list * (term * (term list * term list)))
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    * Comment.text -> bool -> theory -> ProofHistory.T
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  val lemma: (bstring * Args.src list * (string * (string list * string list)))
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    * Comment.text -> bool -> theory -> ProofHistory.T
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  val lemma_i: (bstring * theory attribute list * (term * (term list * term list)))
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    * Comment.text -> bool -> theory -> ProofHistory.T
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  val assume: (string * Args.src list * (string * (string list * string list)) list)
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val assume_i: (string * Proof.context attribute list * (term * (term list * term list)) list)
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val presume: (string * Args.src list * (string * (string list * string list)) list)
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val presume_i: (string * Proof.context attribute list * (term * (term list * term list)) list)
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val local_def: (string * Args.src list * ((string * string option) * (string * string list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val local_def_i: (string * Args.src list * ((string * typ) * (term * term list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val show: (string * Args.src list * (string * (string list * string list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val show_i: (string * Proof.context attribute list * (term * (term list * term list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val have: (string * Args.src list * (string * (string list * string list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val have_i: (string * Proof.context attribute list * (term * (term list * term list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val thus: (string * Args.src list * (string * (string list * string list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val thus_i: (string * Proof.context attribute list * (term * (term list * term list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val hence: (string * Args.src list * (string * (string list * string list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val hence_i: (string * Proof.context attribute list * (term * (term list * term list)))
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    * Comment.text -> ProofHistory.T -> ProofHistory.T
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  val begin_block: ProofHistory.T -> ProofHistory.T
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  val next_block: ProofHistory.T -> ProofHistory.T
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  val end_block: ProofHistory.T -> ProofHistory.T
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  val tac: Method.text -> ProofHistory.T -> ProofHistory.T
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  val then_tac: Method.text -> ProofHistory.T -> ProofHistory.T
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  val proof: Comment.interest * (Method.text * Comment.interest) option
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    -> ProofHistory.T -> ProofHistory.T
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  val kill_proof: ProofHistory.T -> theory
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  val qed: (Method.text * Comment.interest) option -> Toplevel.transition -> Toplevel.transition
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  val terminal_proof: (Method.text * Comment.interest) * (Method.text * Comment.interest) option
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    -> Toplevel.transition -> Toplevel.transition
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  val immediate_proof: Toplevel.transition -> Toplevel.transition
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  val default_proof: Toplevel.transition -> Toplevel.transition
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  val skip_proof: Toplevel.transition -> Toplevel.transition
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  val also: ((string * Args.src list) list * Comment.interest) option * Comment.text
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    -> Toplevel.transition -> Toplevel.transition
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  val also_i: (thm list * Comment.interest) option * Comment.text
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    -> Toplevel.transition -> Toplevel.transition
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  val finally: ((string * Args.src list) list * Comment.interest) option * Comment.text
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    -> Toplevel.transition -> Toplevel.transition
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  val finally_i: (thm list * Comment.interest) option * Comment.text
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    -> Toplevel.transition -> Toplevel.transition
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  val use_mltext: string -> theory option -> theory option
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  val use_mltext_theory: string -> theory -> theory
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  val use_setup: string -> theory -> theory
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  val parse_ast_translation: string -> theory -> theory
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  val parse_translation: string -> theory -> theory
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  val print_translation: string -> theory -> theory
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  val typed_print_translation: string -> theory -> theory
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  val print_ast_translation: string -> theory -> theory
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  val token_translation: string -> theory -> theory
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  val add_oracle: (bstring * string) * Comment.text -> theory -> theory
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  val begin_theory: string -> string list -> (string * bool) list -> theory
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  val end_theory: theory -> theory
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  val theory: string * string list * (string * bool) list
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    -> Toplevel.transition -> Toplevel.transition
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  val context: string -> Toplevel.transition -> Toplevel.transition
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  val update_context: string -> Toplevel.transition -> Toplevel.transition
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end;
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structure IsarThy: ISAR_THY =
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struct
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(** derived theory and proof operations **)
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(* formal comments *)
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fun add_txt comment = ProofHistory.apply Proof.assert_forward;
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fun add_text comment thy = thy;
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fun add_title title author date thy = thy;
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val add_chapter = add_text;
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val add_section = add_text;
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val add_subsection = add_text;
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val add_subsubsection = add_text;
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(* signature and syntax *)
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val add_classes = Theory.add_classes o Comment.ignore;
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val add_classes_i = Theory.add_classes_i o Comment.ignore;
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val add_classrel = Theory.add_classrel o single o Comment.ignore;
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val add_classrel_i = Theory.add_classrel_i o single o Comment.ignore;
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val add_defsort = Theory.add_defsort o Comment.ignore;
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val add_defsort_i = Theory.add_defsort_i o Comment.ignore;
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val add_nonterminals = Theory.add_nonterminals o map Comment.ignore;
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val add_tyabbrs = Theory.add_tyabbrs o map Comment.ignore;
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val add_tyabbrs_i = Theory.add_tyabbrs_i o map Comment.ignore;
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val add_arities = Theory.add_arities o map Comment.ignore;
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val add_arities_i = Theory.add_arities_i o map Comment.ignore;
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val add_typedecl = PureThy.add_typedecls o single o Comment.ignore;
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val add_consts = Theory.add_consts o map Comment.ignore;
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val add_consts_i = Theory.add_consts_i o map Comment.ignore;
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fun add_modesyntax mode = Theory.add_modesyntax mode o map Comment.ignore;
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fun add_modesyntax_i mode = Theory.add_modesyntax_i mode o map Comment.ignore;
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val add_trrules = Theory.add_trrules o map Comment.ignore;
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val add_trrules_i = Theory.add_trrules_i o map Comment.ignore;
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(* axioms and defs *)
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fun add_axms f args thy =
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  f (map (fn (x, srcs) => (x, map (Attrib.global_attribute thy) srcs)) args) thy;
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val add_axioms = add_axms PureThy.add_axioms o map Comment.ignore;
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val add_axioms_i = PureThy.add_axioms_i o map Comment.ignore;
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val add_defs = add_axms PureThy.add_defs o map Comment.ignore;
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val add_defs_i = PureThy.add_defs_i o map Comment.ignore;
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(* constdefs *)
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fun gen_add_constdefs consts defs args thy =
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  thy
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  |> consts (map (Comment.ignore o fst) args)
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  |> defs (map (fn (((c, _, mx), _), (s, _)) =>
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    (((Thm.def_name (Syntax.const_name c mx), s), []), Comment.none)) args);
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fun add_constdefs args = gen_add_constdefs Theory.add_consts add_defs args;
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fun add_constdefs_i args = gen_add_constdefs Theory.add_consts_i add_defs_i args;
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(* theorems *)
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fun gen_have_thmss get attrib f ((name, more_srcs), th_srcs) x =
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  f name (map (attrib x) more_srcs)
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    (map (fn (s, srcs) => (get x s, map (attrib x) srcs)) th_srcs) x;
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fun global_have_thmss x = gen_have_thmss PureThy.get_thms Attrib.global_attribute x;
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fun local_have_thmss x =
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  gen_have_thmss (ProofContext.get_thms o Proof.context_of)
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    (Attrib.local_attribute o Proof.theory_of) x;
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fun have_thmss_i f ((name, more_atts), th_atts) =
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  f name more_atts (map (apfst single) th_atts);
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fun have_lemss name atts = PureThy.have_thmss name (atts @ [Drule.tag_lemma]);
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fun apply_theorems th_srcs = global_have_thmss PureThy.have_thmss ((None, []), th_srcs);
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fun apply_theorems_i th_srcs = have_thmss_i PureThy.have_thmss ((None, []), th_srcs);
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val have_theorems = #1 oo (global_have_thmss (PureThy.have_thmss o Some) o Comment.ignore);
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val have_theorems_i = #1 oo (have_thmss_i (PureThy.have_thmss o Some) o Comment.ignore);
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val have_lemmas = #1 oo (global_have_thmss (have_lemss o Some) o Comment.ignore);
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val have_lemmas_i = #1 oo (have_thmss_i (have_lemss o Some) o Comment.ignore);
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val have_facts = ProofHistory.apply o local_have_thmss (Proof.have_thmss []) o Comment.ignore;
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val have_facts_i = ProofHistory.apply o have_thmss_i (Proof.have_thmss []) o Comment.ignore;
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(* forward chaining *)
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fun gen_from_facts f = ProofHistory.apply o (Proof.chain oo curry f ("", []));
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fun add_thmss name atts ths_atts state =
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  Proof.have_thmss (Proof.the_facts state) name atts ths_atts state;
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val from_facts = gen_from_facts (local_have_thmss (Proof.have_thmss [])) o Comment.ignore;
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val from_facts_i = gen_from_facts (have_thmss_i (Proof.have_thmss [])) o Comment.ignore;
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val with_facts = gen_from_facts (local_have_thmss add_thmss) o Comment.ignore;
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val with_facts_i = gen_from_facts (have_thmss_i add_thmss) o Comment.ignore;
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fun chain comment_ignore = ProofHistory.apply Proof.chain;
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fun export_chain comment_ignore = ProofHistory.applys Proof.export_chain;
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(* context *)
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val fix = ProofHistory.apply o Proof.fix o Comment.ignore;
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val fix_i = ProofHistory.apply o Proof.fix_i o Comment.ignore;
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val match_bind = ProofHistory.apply o Proof.match_bind o map Comment.ignore;
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val match_bind_i = ProofHistory.apply o Proof.match_bind_i o map Comment.ignore;
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(* statements *)
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fun global_statement f (name, src, s) int thy =
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  ProofHistory.init (Toplevel.undo_limit int)
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    (f name (map (Attrib.global_attribute thy) src) s thy);
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fun global_statement_i f (name, atts, t) int thy =
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  ProofHistory.init (Toplevel.undo_limit int) (f name atts t thy);
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fun local_statement f g (name, src, s) = ProofHistory.apply (fn state =>
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  f name (map (Attrib.local_attribute (Proof.theory_of state)) src) s (g state));
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fun local_statement_i f g (name, atts, t) = ProofHistory.apply (f name atts t o g);
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val theorem     = global_statement Proof.theorem o Comment.ignore;
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val theorem_i   = global_statement_i Proof.theorem_i o Comment.ignore;
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val lemma       = global_statement Proof.lemma o Comment.ignore;
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val lemma_i     = global_statement_i Proof.lemma_i o Comment.ignore;
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val assume      = local_statement Proof.assume I o Comment.ignore;
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val assume_i    = local_statement_i Proof.assume_i I o Comment.ignore;
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val presume     = local_statement Proof.presume I o Comment.ignore;
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val presume_i   = local_statement_i Proof.presume_i I o Comment.ignore;
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val local_def   = local_statement LocalDefs.def I o Comment.ignore;
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val local_def_i = local_statement LocalDefs.def_i I o Comment.ignore;
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val show        = local_statement Proof.show I o Comment.ignore;
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val show_i      = local_statement_i Proof.show_i I o Comment.ignore;
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val have        = local_statement Proof.have I o Comment.ignore;
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val have_i      = local_statement_i Proof.have_i I o Comment.ignore;
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val thus        = local_statement Proof.show Proof.chain o Comment.ignore;
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val thus_i      = local_statement_i Proof.show_i Proof.chain o Comment.ignore;
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val hence       = local_statement Proof.have Proof.chain o Comment.ignore;
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val hence_i     = local_statement_i Proof.have_i Proof.chain o Comment.ignore;
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(* blocks *)
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val begin_block = ProofHistory.apply Proof.begin_block;
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val next_block = ProofHistory.apply Proof.next_block;
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val end_block = ProofHistory.applys Proof.end_block;
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(* backward steps *)
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val tac = ProofHistory.applys o Method.tac;
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val then_tac = ProofHistory.applys o Method.then_tac;
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val proof =
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  ProofHistory.applys o Method.proof o apsome Comment.ignore_interest o Comment.ignore_interest';
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(* print result *)
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fun pretty_result {kind, name, thm} =
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  Pretty.block [Pretty.str (kind ^ " " ^ name ^ ":"), Pretty.fbrk, Proof.pretty_thm thm];
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fun pretty_rule thm =
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  Pretty.block [Pretty.str "solving goal by rule:", Pretty.fbrk, Proof.pretty_thm thm];
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val print_result = Pretty.writeln o pretty_result;
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fun cond_print_result_rule int =
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  if int then (print_result, Pretty.writeln o pretty_rule)
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  else (K (), K ());
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fun proof'' f = Toplevel.proof' (f o cond_print_result_rule);
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(* local endings *)
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val local_qed =
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  proof'' o (ProofHistory.applys oo Method.local_qed) o apsome Comment.ignore_interest;
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fun ignore_interests (x, y) = (Comment.ignore_interest x, apsome Comment.ignore_interest y);
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val local_terminal_proof =
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  proof'' o (ProofHistory.applys oo Method.local_terminal_proof) o ignore_interests;
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val local_immediate_proof = proof'' (ProofHistory.applys o Method.local_immediate_proof);
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val local_default_proof = proof'' (ProofHistory.applys o Method.local_default_proof);
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val local_skip_proof = proof'' (ProofHistory.applys o SkipProof.local_skip_proof);
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(* global endings *)
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val kill_proof = Proof.theory_of o ProofHistory.current;
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fun global_result finish = Toplevel.proof_to_theory (fn prf =>
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  let
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    val state = ProofHistory.current prf;
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    val _ = if Proof.at_bottom state then () else raise Toplevel.UNDEF;
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    val (thy, res) = finish state;
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  in print_result res; thy end);
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val global_qed = global_result o Method.global_qed o apsome Comment.ignore_interest;
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val global_terminal_proof = global_result o Method.global_terminal_proof o ignore_interests;
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val global_immediate_proof = global_result Method.global_immediate_proof;
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val global_default_proof = global_result Method.global_default_proof;
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val global_skip_proof = global_result SkipProof.global_skip_proof;
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(* common endings *)
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fun qed meth = local_qed meth o global_qed meth;
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fun terminal_proof meths = local_terminal_proof meths o global_terminal_proof meths;
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val immediate_proof = local_immediate_proof o global_immediate_proof;
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val default_proof = local_default_proof o global_default_proof;
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val skip_proof = local_skip_proof o global_skip_proof;
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(* calculational proof commands *)
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local
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fun cond_print_calc int thm =
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  if int then Pretty.writeln (Pretty.big_list "calculation:" [Proof.pretty_thm thm])
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  else ();
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fun proof''' f = Toplevel.proof' (f o cond_print_calc);
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fun get_thmss srcs = Proof.the_facts o local_have_thmss (Proof.have_thmss []) (("", []), srcs); 
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fun get_thmss_i thms _ = thms;
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fun gen_calc get f (args, _) prt state =
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  f (apsome (fn (srcs, _) => get srcs state) args) prt state;
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in
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fun also x = proof''' (ProofHistory.applys o gen_calc get_thmss Calculation.also x);
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fun also_i x = proof''' (ProofHistory.applys o gen_calc get_thmss_i Calculation.also x);
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fun finally x = proof''' (ProofHistory.applys o gen_calc get_thmss Calculation.finally x);
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fun finally_i x = proof''' (ProofHistory.applys o gen_calc get_thmss_i Calculation.finally x);
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end;
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(* use ML text *)
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fun use_mltext txt opt_thy = #2 (Context.pass opt_thy (use_text false) txt);
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fun use_mltext_theory txt thy = #2 (Context.pass_theory thy (use_text false) txt);
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fun use_context txt = use_mltext_theory ("Context.>> (" ^ txt ^ ");");
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fun use_let name body txt =
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  use_context ("let val " ^ name ^ " = " ^ txt ^ " in\n" ^ body ^ " end");
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val use_setup =
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  use_let "setup: (theory -> theory) list" "Library.apply setup";
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(* translation functions *)
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val parse_ast_translation =
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  use_let "parse_ast_translation: (string * (Syntax.ast list -> Syntax.ast)) list"
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    "Theory.add_trfuns (parse_ast_translation, [], [], [])";
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val parse_translation =
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  use_let "parse_translation: (string * (term list -> term)) list"
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    "Theory.add_trfuns ([], parse_translation, [], [])";
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val print_translation =
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  use_let "print_translation: (string * (term list -> term)) list"
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    "Theory.add_trfuns ([], [], print_translation, [])";
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val print_ast_translation =
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  use_let "print_ast_translation: (string * (Syntax.ast list -> Syntax.ast)) list"
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    "Theory.add_trfuns ([], [], [], print_ast_translation)";
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val typed_print_translation =
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  use_let "typed_print_translation: (string * (bool -> typ -> term list -> term)) list"
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    "Theory.add_trfunsT typed_print_translation";
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val token_translation =
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  use_let "token_translation: (string * string * (string -> string * int)) list"
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    "Theory.add_tokentrfuns token_translation";
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(* add_oracle *)
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fun add_oracle ((name, txt), comment_ignore) =
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  use_let
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    "oracle: bstring * (Sign.sg * Object.T -> term)"
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    "Theory.add_oracle oracle"
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    ("(" ^ quote name ^ ", " ^ txt ^ ")");
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(* theory init and exit *)
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fun begin_theory name parents files =
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  let
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    val paths = map (apfst Path.unpack) files;
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    val thy = ThyInfo.begin_theory name parents paths;
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  in Present.begin_theory name parents paths thy end;
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fun end_theory thy =
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  (Present.end_theory (PureThy.get_name thy); ThyInfo.end_theory thy);
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fun kill_theory thy = ThyInfo.remove_thy (PureThy.get_name thy);
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fun bg_theory (name, parents, files) () = begin_theory name parents files;
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fun en_theory thy = (end_theory thy; ());
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fun theory spec = Toplevel.init_theory (bg_theory spec) en_theory kill_theory;
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(* context switch *)
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fun switch_theory load s =
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  Toplevel.init_theory (fn () => (the (#2 (Context.pass None load s)))) (K ()) (K ());
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val context = switch_theory ThyInfo.use_thy;
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val update_context = switch_theory ThyInfo.update_thy;
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   477
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   478
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   479
end;